Articles liés à Classical Mechanics: Transformations, Flows, Integrable...

Classical Mechanics: Transformations, Flows, Integrable and Chaotic Dynamics - Couverture rigide

McCauley, Joseph L.

 
9780521481328: Classical Mechanics: Transformations, Flows, Integrable and Chaotic Dynamics
Couverture rigide
ISBN 10 : 0521481325 ISBN 13 : 9780521481328
Editeur : Cambridge University Press, 1997

Synopsis

This is an advanced 1997 text for first-year graduate students in physics and engineering taking a standard classical mechanics course. It was the first book to describe the subject in the context of the language and methods of modern nonlinear dynamics. The organising principle of the text is integrability vs. nonintegrability. Flows in phase space and transformations are introduced early and systematically and are applied throughout the text. The standard integrable problems of elementary physics are analysed from the standpoint of flows, transformations, and integrability. This approach then allows the author to introduce most of the interesting ideas of modern nonlinear dynamics via the most elementary nonintegrable problems of Newtonian mechanics. This text will be of value to physicists and engineers taking graduate courses in classical mechanics. It will also interest specialists in nonlinear dynamics, mathematicians, engineers and system theorists.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This is an advanced 1997 text for first-year graduate students in physics and engineering taking a standard classical mechanics course. It was the first book to describe the subject in the context of the language and methods of modern nonlinear dynamics. The organising principle of the text is integrability vs. nonintegrability. Flows in phase space and transformations are introduced early and systematically and are applied throughout the text. The standard integrable problems of elementary physics are analysed from the standpoint of flows, transformations, and integrability. This approach then allows the author to introduce most of the interesting ideas of modern nonlinear dynamics via the most elementary nonintegrable problems of Newtonian mechanics. This text will be of value to physicists and engineers taking graduate courses in classical mechanics. It will also interest specialists in nonlinear dynamics, mathematicians, engineers and system theorists.

Revue de presse

'I believe that this book is both a significant and timely, and indeed personal, contribution to the literature on mechanics, and one which will sit comfortably alongside other definitive Cambridge publications.' Nigel Steele, The Times Higher Education Supplement

' ... remarkable imagination and insight ... a godsend to any enterprising and conscientious teacher newly designing a classical mechanics course.' G. Barton, Contemporary Physics

'The book will be valuable to physicists and engineers studying the classical mechanics. It will also be of interest to specialists in nonlinear dynamics, mathematicians, and system theorists.' V. Marinca, Zentralblatt MATH

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
1997
Langue
anglais
ISBN 10 
0521481325
ISBN 13 
9780521481328
Reliure
Relié
Nombre de pages
488
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

chemin des peupliers 27
Dardilly
France